Precalculus · Problem 3.1.30

Polynomial Functions — Stitz & Zeager

Mathematics — Precalculus · polynomial-applied-profit

Problem

Suppose the revenue

R

, in thousands of dollars, from producing and selling

x

hundred LCD TVs is given by

R(x) = -5x^3 + 35x^2 + 155x

for

0 \leq x \leq 10.07

. Assume that the cost, in thousands of dollars, to produce

x

hundred LCD TVs is given by

C(x) = 200x + 25

for

x \geq 0

. Find and simplify an expression for the profit function

P(x)

. (Remember: Profit

=

Revenue

-

Cost.)